Answer:
$1,657.82
Step-by-step explanation:
435.20 + 510.20 + 345.12 + 142 + 225.30 = total checking balance
1,657.82
The equation y=14.4x+17.0 estimates the amount that businesses will spend, in billions of dollars, on a certain business technology, where x is the number of years after 2004. For what years will the spending be more than $89 billion?
The years where the spending will be more than $89 billion are: after 2009, i.e., 5 years after 2004, as found by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Given: y = 14.4x + 17,
where: x = number of years after 2004
y = amount spent by businesses
To find: number of years where spending
$89 billion.
Finding:
We are given: y = 89, for which, we have to find the x, i.e., the number of years.
By basic algebra, substituting the value of y and solving for x:
89 = 14.4x + 17
72 = 14.4x
x = 5
Hence, The years where the spending will be more than $89 billion are: after 2009, i.e., 5 years after 2004, as found by basic algebra.
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How do you evaluate c^2 + 7c - 6 when c = 6?
Answer:
72
Step-by-step explanation:
(6)^2+7(6)-6
36+42-6
72
question is in the picture PLEASE HELP NEED DONE ASAP
The ordered pairs that solve the system of inequalities is given by:
(3, -2), (1, -1).
How to verify if an ordered pair solves a system of inequalities?To verify if an ordered pair solves a system of inequalities, we have to verify if it respects all conditions.
For this problem, the conditions are given as follows:
x - 3y ≥ 1.2x + y ≤ 4.For the ordered pair (0,3), we have that:
x - 3y = -9 < 1, hence it does not respect.
For the ordered pair (-1,1), we have that:
-1 -3 = -4 < 1, hence it does not respect.
For the ordered pair (3,-2), we have that:
3 - 3(-2) = 3 + 4 = 7 > 1.2x + y = 6 - 2 = 4 = 4, hence ok.For the ordered pair (4,0), we have that:
4 - 3(0) = 4 > 1.2x + y = 8 > 4, hence it does not respect.For the ordered pair (2,3), we have that:
2 - 3(3) = -7 < 1, hence it does not respect.
For the ordered pair (1,-1), we have that:
1 - 3(-1) = 1 + 3 = 4 > 1.2x + y = 2 - 1 = 1 < 4, hence ok.More can be learned about inequalities at https://brainly.com/question/24372553
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Please help I need it soon.
Find y if the slope between (1,y) and (-5,-1) is 2/3
Answer:
y = 3
Step-by-step explanation:
Points: (1, y), (-5, -1)
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (-1 - y)/(-5 - 1) = (-1 - y)/(-6)
slope = 2/3
(-1 - y)/(-6) = 2/3
Multiply both sides by -6.
-1 - y = -6 × 2/3
-1 - y = -12/3
-1 - y = -4
-y = -3
y = 3
X
X
X
What is the inverse function of f(x) = 4 -
6
A f(x)=¹=4-6x
B_1(x)=¹= 6-/
Cf(x)=¹=24-6x
Str
6
D f(x)=¹=24 --
I
-?
Answer:
[tex]\textsf{C}\quad f^{-1}(x)=24-6x[/tex]
Step-by-step explanation:
You want the inverse function of f(x) = 24 -x/6.
Inverse functionThe function relates x to y by y = f(x). The inverse function gives the reverse relation: x = f(y). Solving this for y gives the inverse function in the form you want.
x = f(y)
x = 4 -y/6 . . . . . use definition of f(x)
6x = 24 -y . . . . multiply by 6
y = 24 -6x . . . . add y-6x
f⁻¹(x) = 24 -6x . . . . write using function notation
8 less than twice a number is the same as 4 more than that same number
Answer:
12
Step-by-step explanation:
So: 2x-8=4+x
x-8=4
x=12
Find the population mean or sample mean as indicated. 17, 10, 3, 5, 25
12 is the population mean or sample mean of given data.
Given that
The collected data
17, 10, 3, 5, 25
To find
The population mean or sample mean
So, according to the question
we have,
The collected data
17, 10, 3, 5, 25
For calculate the the population mean or sample mean, We have to find out the total of data, and total number of data.
Total of data = 17+ 10 +3 + 5+ 25
Total of data = 60
Total number of data (n) = 5,
So, we know that
Sample mean = [tex]\frac{total\;of\;data}{n\;number\;of\;data}[/tex]
Now, putting the all values,
We will get,
Sample mean = 60/5
= 12
The Sample mean of given data is 12.
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Sid makes a living baking cakes. For each cake, he uses 1 3/4 cups of sugar, 4 1/5 cups
of flour, and 3/10 of a cup of milk. How many cups of ingredients will Sid need to
make 4 cakes? Please I need the answer
By adding the number of cups needed for each cake, we conclude that you will need 25 cups of ingredients to make the 4 cakes.
How many cups of ingredients sill Sid need for 4 cakes?We know that the recipe calls for:
(1 + 3/4 ) cups of sugar.(4 + 1/5) cups of flour.3/10 of a coup of milk.That is for a single cake, so in a single cake you need a total of cups given by the sum of the above quantities, this gives:
(1 + 3/4) + (4 + 1/5) + 3/10 = (1 + 4) + (3/4 + 1/5 + 3/10)
= 5 + (3/4 + 2/10 + 3/10) = 5 + (3/4 + 5/10) = 5 + (3/4 + 1/2) = 5 + 5/4
= 5 + 4/4 + 1/4 = 6 + 1/4
Each cake needs (6 + 1/4) cups of ingredients, so 4 cakes will need:
4* (6 + 1/4) = 24 + 4/4 = 25
You will need 25 cups of ingredients to make the 4 cakes.
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Solve . -9 2/7 - (10 3/7)
A. -1 1/7
B. 1 1/7
C. 19 1/7
D. 19 5/7
Answer:
−19 5/7
None of the options match the answer
Step-by-step explanation:
−9 2/7 −10 3/7
=−65/7 −10 3/7
= −65/7 −10 3/7
= −65/7 − 73/7
= −138/7
= −19 5/7
Lupe put $24000 in a certificate of deposit that gained interest at a rate of 5.5%. How much interest did the account gain after 3 months?
He gained $330 of interest in the three months.
Here we will use the Simple interest formula
Simple Interest (SI) = Simple Interest (SI)
initial principal balance = P = 24000
annual interest rate = r = 5.5
time (in years) = t = 3 months out of 1 year
= 3/12 = 1/4
Lets substitute the values in the formula
Simple Interest (SI) = (P × R × T)/100
= (24000 × 5.5 × 1/4)/100
= 330
What is simple interest?Simple interest is a quick and straightforward approach to figure out how much interest has accrued on a sum of money. Interest is always applied to the main sum, and there is a constant rate of interest applied during the course of the calculation.
Any bank where we deposit money pays us interest on the amount when we do so. There are other forms of interest charged by banks, but simple interest is one of them. To begin with, let's define a loan before delving further into the idea of simple interest.
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Twice a number is added to the number and the answer is 87. What is the number?
Work Shown:
x = some unknown number
2x = twice the number
2x+x = add on the number
2x+x = 87
3x = 87
x = 87/3
x = 29
I thought of a number R added 12 and then doubled the result
Answer:
2r+24
Step-by-step explanation:
The number is R · R is added to 12 : R + 12. Double the result: 2 (R + 12). = 2 R + 24. So the answer is ultimatley 2r+24.
Answer: 2R+24
Step-by-step explanation:
(R+12)*2= ==> multiplication comes before addition, so in order to indicate that addition occurs before multiplication, there should be parentheses around
2(R+12)=
2R+2*12=2R+24
True or false? The following is a graph of a function.
8-6-4
True
False
86
8-
42
4-
-2
-4
-6
-8
y
2468
X
Answer:
true
Step-by-step explanation:
its true frfr
Can someone confirm if my answer is correct?
The three angles in a triangle are in the ratio 3:4:5. Find the angles
please help asap question 1 and 2!
A) The reason why Chris had higher savings by retirement age, is because he saved $5000 annually from ages 25 to 65 while susan did so only from ages 25 to 35 .
B) The reason why Susan had a higher retirement savings than bill is because Susan started investing 10 years earlier than bill and so her investment had a longer period to compound.
How to interpret Exponential graphs?A) From the given exponential graph, we see that Chris curve was simialr to that of susan between ages 25 to 35 and suddenly Chris curve began to rise at a faster rate than that of Susan after that until when retired at 65 years of age.
Since we are told that chris continued that amount till retirement at 65, we are told that susan contributed the same amount for only that period between ages 25 and 35. Thus, it means that the reason why Chris had higher savings by retirement age, is because he saved $5000 annually from ages 25 to 65 while susan did so only from ages 25 to 35 .
B) The reason why susan had a higher retirement savings than bill is because susan started investing 10 years earlier than bill and so her investment had a longer period to compound.
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I’ll give points + brainalist!!
Answer: t<=-4 ==> -12, -5, -8, -4, -7
Step-by-step explanation:
t/4<=-1
t/4 * 4<=-1*4
t*4/4<=-4
4t/4<=-4
t<=-4 ==> -12, -5, -8, -4, -7
Answer:
-4,-5,-7,-8, and -12
Step-by-step explanation:
[tex]\frac{t}{4} \leq -1[/tex]
[tex]t\leq -4[/tex]
Therefore t has to be less than or equal to -4
So in the values provided, x can be -4,-5,-7,-8, and -12
The equivalent inequality would be [tex]t\leq -4[/tex].
If this was helpful pls give me brainliest <3
please i need help on this question
Answer: 48 represents total amount and s represents scarves
Step-by-step explanation:
It tells you when you read the sentence carefully.
which length is 25 m longer than its width. Knowing that the length is 9/4 of it's width. Find area of the rectangle
Answer:
56.25
Step-by-step explanation:
9/4×25
=225/4
=56.25
BRAINLIEST FOR WHOEVER ANSWERS
The inequality for a child up to and including 26 lb is the third option showing correct number line of inequality.
Given that the inequality is 0<x<=26.
We are required to choose the option which shows the correct number line of inequality.
Inequality is like an equation which shows the relationship between two or more variables but in greater than,less than,greater than or equal to ,less than or equal to signs.
Because we have to include 26 in the inequality so we need to fill the circle on 26. So, the correct option showing the correct inequality is third.
Hence the inequality for a child up to and including 26 lb is the third option showing number line of inequality.
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Which is a simplified
expression for the perimeter
of the triangle below?
2.5x 2x + 3 5x15
Answer:
It is the 60 simplified
Hope I've helped
simplify 3 • 3^2 + 8 divided by 2 - (4 + 3)
Answer: 24 ==> B
Step-by-step explanation:
3*3^2+8/2 -(4+3)=
3*9+4-7=
27-3=24 ==> B
using company D’s plan, the cost of a phone call is $1.70 connection fee plus 26 cents per minute. if the total cost of the call is $13.66, how long is the phone call?
Answer:
it should be 7 minutes not sure because i got a slightly different answer but still gonna try
Step-by-step explanation:
1.70+26 = 1.96
1.96x7 = 13.72
Please help me with 1-4. I will give an Brainly and a bunch of extra points.
Answer:
1. A U C = {a, b, c, d, e}
2. B intersect A = {a, b, d}
3. B' = {c, f, g, h}
4. A - (B intersect C') = {a,c}
Step-by-step explanation:
U is a big set with all the letters a through f in it. Set A, B, and C are subsets of U. They have some of the letters in them. You could pick out the contents of set A, for example, from set U. Same with B and C. There's a little bit of overlap between A and B and C.
So for #1, the U shaped symbol means "Union" and you can remember that because of the U shape symbol. "Union" means throw everything in all together. A U C means all of A and all of C all together. But you don't have to write repeats, just list the letters once.
A is {a,b, c, d} and C is {a, e} so A U C is all of both of them:
{a, b, c, d, e}
The upsidedown Usymbol is "intersect" and that is only what the two sets have in common (whats the same) between the two sets.
BintersectA is what is the same in B{b,e,a,d} and A{a,b,c,d}. They both have a, b and d so that is the answer to BintersectA = {a,b,d}
The "apostrophe" looking mark means "Not this set". So B' means NotB. You list everything that is NOT in B. B is {b,e,a,d} so B' is NotB = {c,f,g,h}
The last one has what looks like a minus sign. Thats like normal "takeaway" along with parenthesis, use that normally like grouping/"do this first" and also intersect and Not. So basically all the work, all in one problem.
C = {a,e} so C' is NotC is {b,c,d,f,g,h}
The BintersectC' is what are the same beween B and NotC:
BintersectC' = {b,d}
A take away {b,d}
would be
{a,b,c,d} - {b,d}
= {a,c}
Answer screenshot please
By using the given graph, we can see that f(-5) = 3.
How to find the value of f(-5)?
Here we have an image with the graph of the function y = f(x).
Remember that each point on that grid has the coordinates (x, y), where the values of x are on the horizontal axis, and the values of y are in the vertical axis.
So, if we want to find f(-5), then we want to see what value of y takes f(x) when x = -5.
So, first we need to go to the horizontal axis and find x = -5.
Once we find that value, now we need to move up or down along a vertical line (depending on where is the graph of the function). In this case we would move upwards. Now, count how many units we move up until we hit the graph of the function, that number of units will be the value of y.
In this case, we need to move 3 units upwards to hit the graph, then we have y = 3.
This means that the value of the function when x = -5 is y = 3, so we can write:
f(-5) = 3
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Rochelle needs to pack a picture frame that measures 7611 inches on each side. Will it fit into a box that measures 7.52 inches on each side? Explain.
No, the picture frame will not fit into a box that measures 7.5 inches on each side because the side of the frame will be greater than it that is 7.54 inches.
Length of picture frame is given as:
= 7 (6 / 11)
= 7.54 inches
The length of Box is given as = 7.5 inches
From the above, we can see that the length of the box is smaller than the length of the picture frame.
So, the picture frame will not be able to fit in the box.
Therefore, we get that, the picture frame will not be able to fit into a box that measures 7.5 inches on each side because the side of the frame will be greater than it that is 7.54 inches.
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Your question was incomplete. Please refer the content below:
Rochelle needs to pack a picture frame that measures 7 6/11 (fraction 6 over 11) inches
on each side. Will it fit into a box that measures 7.5 inches on each
side?
9x^3+2x-4 / 3x-2
Is this answer 9x+8+(4/3)/3x-2
Answer:
Hello,
Step-by-step explanation:
[tex]9x^3+2x-4=(3x-2)*(3x^2+2x+2) \\Remainder\ is\ 0\\\\if\ x \neq \dfrac{2}{3} \\\\\dfrac{9x^3+2x-4}{3x-2}=\dfrac{(3x-2)*(3x^2+2x+2) }{3x-2} =3x^2+2x+2[/tex]
About how many times as great is 2.1 x 10^8 compared to 1.9 ×10^6
Answer:
2.1 x 10^8 compared to 1.9 ×10^6 is 110.53 times greater.
Answer:
Step-by-step explanation:
About how many times as great is 2.1 x 10^8 compared to 1.9 ×10^6
An English instructor asserted that students test grades are directly proportional to the amount of time spent studying. Lisa studies 4 hours for a particular test and gets a score of 79. At this rate how many hours would she have had to study to get a score of 93?
Answer:
She have to study 4 hours and 42 minutes to get 93 marks.
Step-by-step explanation:
when she studied 4 hours she got 79
when she studied 1 hour she got 4/79
[tex]4 \div 79\times 93[/tex]
is the time when she got 93
= 4.70
It means the time will be 4 hours 42 minutes
Please help
Find the equation of the line then write it in the form y=mx+b
Y= ?
Answer:
y=1/5x
y=0
Step-by-step explanation: